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Finding the Third Proportional to 7,003.88 and 15,388.13

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Solution

The third proportional to 7,003.88 and 15,388.13 is: 33,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.88 : 15,388.13 = 15,388.13 : x
  2. Step 2: Convert to fraction form
    7,003.88/15,388.13 = 15,388.13/x
  3. Step 3: Cross multiply
    7,003.88x = 15,388.13 × 15,388.13
  4. Step 4: Simplify right side
    7,003.88x = 236,794,391.02
  5. Step 5: Solve for x
    x = 236,794,391.02/7,003.88
  6. Step 6: Final answer
    x = 33,809.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.